16725
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 27776
- Proper Divisor Sum (Aliquot Sum)
- 11051
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8880
- Möbius Function
- 0
- Radical
- 3345
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 35
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of inequivalent ways to color vertices of a cube using at most n colors.at n=5A000543
- Pseudoprimes to base 7.at n=24A005938
- Number of vectors abcdefg with a,b,... >= 0, a+...+g=n, a>={b,...g}.at n=17A014073
- Odd octagonal numbers: (2n+1)*(6n+1).at n=37A014641
- Quotients k*(k+1)*(k+2) / (k+(k+1)+(k+2)) that are lucky numbers.at n=15A032792
- a(n) = ((6*n+19)*4^n - 1)/3.at n=5A072260
- Octagonal numbers for which the sum of the digits is also an octagonal number.at n=9A117082
- Number of binary strings of length n with no substrings equal to 0001, 1000 or 1001.at n=15A164485
- p*(p+2)/3 where p and p+4 are primes.at n=14A181093
- Volume of elliptic cone (rounded down) with semi-minor axis = height = n and semi-major axis = 3*n/2.at n=21A228391
- Pseudoprimes to base 7 that are not squarefree.at n=7A243089
- Numbers x such that x^2 = y^3 + z (0 < abs(z) < y).at n=52A268510
- Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 99", based on the 5-celled von Neumann neighborhood.at n=30A278872
- Octagonal numbers (A000567) in which parity of digits alternates.at n=15A297647
- Numbers k(n) used for Cassels's Markoff forms MF(n) corresponding to the conjectured unique Markoff triples MT(n) with maximal entry m(n) = A002559(n), for n >= 1.at n=26A305310
- Number of Catalan words of length n avoiding the pattern 110.at n=12A307465
- Non-isomorphic colorings of the cube under rotations, using at most N colors on the faces and M colors on the vertices. Square array H(N,M) with N,M > 0 read by antidiagonals.at n=14A316093
- Quasi-Repfigit numbers (or Quasi-Keith numbers).at n=19A319746
- Unique solution x of the congruence x^2 = -1 (mod m(n)), with m(n) = A002559(n) (Markoff numbers) in the interval [1, floor(m(n)/2)], assuming the Markoff uniqueness conjecture, for n >= 3.at n=24A324601
- Array read by descending antidiagonals: A(n,k) is the number of oriented colorings of the facets of a regular n-dimensional orthoplex using up to k colors.at n=23A325012